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Finding the Third Proportional to 122.81 and 171.09

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Solution

The third proportional to 122.81 and 171.09 is: 238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 171.09 = 171.09 : x
  2. Step 2: Convert to fraction form
    122.81/171.09 = 171.09/x
  3. Step 3: Cross multiply
    122.81x = 171.09 × 171.09
  4. Step 4: Simplify right side
    122.81x = 29,273.07
  5. Step 5: Solve for x
    x = 29,273.07/122.81
  6. Step 6: Final answer
    x = 238.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.